Dynamics of moving contact lines: A comparison between slip and precursor film models
Dynamics of moving contact lines: A comparison between slip and precursor film models
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DOI：
10.1209/0295-5075/94/64004
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发表时间：
2011-06
期刊：
影响因子：
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通讯作者：
N. Savva;S. Kalliadasis
中科院分区：
文献类型：
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作者：
N. Savva;S. Kalliadasis
接触线运动的流体动力学方程通常用不同的模型进行修正，以减轻与基底上无滑动条件相关的应力奇异性。使用的二维液滴的传播作为一个移动的接触线的原型，我们研究了滑动和前体膜模型，通常用于治疗的奇异性的动力学。通过考虑准静态扩展极限，我们建立了连接滑移和前驱膜模型的等价关系。我们研究这些关系，通过数值实验，我们表明，他们似乎持续存在，即使当运动不能再被视为准静态。然而，在某些条件下，特别是当多个液滴平衡是可能的时，可以观察到显著不同的行为。
The hydrodynamic equations for contact line motion are typically amended with different models to alleviate the stress singularity associated with the no-slip condition on the substrate. Using the spreading of a two-dimensional droplet as a prototype for a moving contact line, we study the dynamics of slip and precursor film models that are commonly used to cure the singularity. By considering the quasistatic spreading limit we establish equivalence relations that connect the slip and precursor film models. We examine these relations via numerical experiments and we show that they appear to persist even when the motion can no longer be treated as quasistatic. However, significantly different behaviors may be observed under certain conditions, particularly when multiple droplet equilibria are possible.